## MATH 225N Week 5 Assignment: Evaluating Probability Using the Normal Distribution

**Question:**Wilson’s math test scores are … with a mean score of 73 (*μ*) and a standard deviation of 5 (*σ*). Using the Empirical Rule, about 99.7% of the scores lie between which two values?**Question:**Miller’s geometry test scores are … with a mean score of 70 (*μ*) and a standard deviation of 3 (*σ*). Using the Empirical Rule, about 95% of the scores lie between which two values?**Question:**Wilson’s statistics test scores are … with a mean score of 72 (*μ*) and a standard deviation of 3 (*σ*). Using the Empirical Rule, about 68% of the scores lie between which two values?**Question:**Karly’s math test scores are … with a mean score of 87 (*μ*) and a standard deviation of 4 (*σ*). Using the Empirical Rule, about 99.7% of the data values lie between which two values?**Question:**2014, the CDC estimated that the mean height for adult women in the U.S. was 64 inches with a standard deviation of 4 Suppose*X*, height in inches of adult women, follows a normal distribution. Which of the following gives the probability that a randomly selected woman has a height of greater than 68 inches?**Question:**The number of pages per book on a bookshelf is normally distributed with mean 189 pages and standard deviation 20 What is the probability that a randomly selected book has greater than 229 pages? Use the empirical rule**Question:**After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 Use the Empirical Rule to find the probability that a randomly selected student’s score is greater than 76 points.

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